Seismic data reconstruction based on iterative linear expansion of thresholds |
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| Authors: | LUO Teng LIU Cai WANG dian YANG Xueting FU Wei ZHOU Yin HE Mei |
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| Institution: | College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China |
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| Abstract: | Based on the compressive sensing,a novel algorithm is proposed to solve reconstruction problem under sparsity assumptions.Instead of estimating the reconstructed data through minimizing the objective function,the authors parameterize the problem as a linear combination of few elementary thresholding functions,which can be solved by calculating the linear weighting coefficients.It is to update the thresholding functions during the process of iteration.The advantage of this method is that the optimization problem only needs to be solved by calculating linear coefficients for each time.With the elementary thresholding functions satisfying certain constraints,a global convergence of the iterative algorithm is guaranteed.The synthetic and the field data results prove the effectiveness of the proposed algorithm. |
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| Keywords: | compressive sensing sparsity seismic data reconstruction thresholding weighting coefficient |
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